8310327921 has 45 divisors (see below), whose sum is σ = 14450987529. Its totient is φ = 4745477016.

The previous prime is 8310327913. The next prime is 8310327929. The reversal of 8310327921 is 1297230138.

The square root of 8310327921 is 91161.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (8310327913) and next prime (8310327929).

It is not a de Polignac number, because 8310327921 - 2³ = 8310327913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8310327929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5742420 + ... + 5743866.

Almost surely, 2^8310327921 is an apocalyptic number.

8310327921 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8310327921 is the 91161-st square number.

8310327921 is the 45581-st centered octagonal number.

It is an amenable number.

8310327921 is a deficient number, since it is larger than the sum of its proper divisors (6140659608).

8310327921 is an frugal number, since it uses more digits than its factorization.

8310327921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 8310327921 is about 2025.5332982229.

Multiplying 8310327921 by its sum of digits (36), we get a square (299171805156 = 546966²).

The spelling of 8310327921 in words is "eight billion, three hundred ten million, three hundred twenty-seven thousand, nine hundred twenty-one".